SimCity BuildIt - Build, craft, and control! SimCity BuildIt is an all-new SimCity game designed just for mobile.
Citybound - Open-source city building sim with a focus on realism through microscopic details
OpenTTD - An open-source clone of the classic game ...
Simpsons Tapped Out - The Simpsons Tapped Out: the mobile game that's life-ruiningly fun! Free to download and play on the iPhone, iPad, Kindle and on Android devices.
Cities: Skylines - Cities: Skylines is a Construction and Management, City Building, and Single-player Simulation developed by Colossal Order and published by Paradox Interactive.
Rebuild - Defend a city from zombies, managing survivors, food and morale.